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Atlas › Integer Profiles › Node 2,391,870

2,391,870

2 × 3 × 5 × 13 × 6133
Abundant Even Composite

2,391,870 factors as 2 × 3 × 5 × 13 × 6133. Its 32 positive divisors give a proper-divisor sum of 3,791,202, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 6133
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,183,072
Proper Divisor Sum 3,791,202
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2391863 ← → #2391881

Radix Representation

Decimal 2391870
Binary 1001000111111100111110 (22 bits)
Octal 0o11077476
Hexadecimal 0x247F3E

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 6,133 12,266 18,399 30,665 36,798 61,330 79,729 91,995 159,458 183,990 239,187 398,645 478,374 797,290 1,195,935 2,391,870

Collatz Trajectory (130 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,391,870 1,195,935 3,587,806 1,793,903 5,381,710 2,690,855 8,072,566 4,036,283 12,108,850 6,054,425 18,163,276 9,081,638 4,540,819 13,622,458 6,811,229 20,433,688 10,216,844 5,108,422 2,554,211 7,662,634 3,831,317 11,493,952 5,746,976 2,873,488 1,436,744 718,372 359,186 179,593 538,780 269,390 134,695 404,086 202,043 606,130 303,065 909,196 454,598 227,299 681,898 340,949 1,022,848 511,424 255,712 127,856 63,928 31,964 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173

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